On multiple recurrence and other properties of "nice" infinite measure preserving transformations

Abstract

We discuss multiple versions of rational ergodicity and rational weak mixing for "nice" transformations, including Markov shifts, certain interval maps and hyperbolic geodesic flows. These properties entail multiple recurrence.

Cited by in corpus (3)

• On mixing and the local central limit theorem for hyperbolic flows
• Infinite measure renewal theorem and related results
• Quantitative global-local mixing for accessible skew products